As a real estate salesperson, you earn a small salary, plus a percentage of the selling price of each house you sell. if your salarly is $100 a week, plus 3.5% of the selling price of each house sold, what must your total annual home sales be for you to gross 30,000 in 1 year? assume that you work 50 weeks per year.

first step)

it is  $ 100  * 3,5 %  = 3,5 $ , then 100+ 3,5 =  % 103,5 per week

total earnings per year

30000* 3,5 % = 31050

second step)

Now you must establish the following relation to determine the numbers of houses that you must sell on a week to obtain  $ 31 050  in a year

1 house*  $ 31050÷ $ 103 /week  * 50 week = 6 house / week

now , to know the quantity of houses in 50 weeks, it is  6 houses * 50 weeks  = 300 houses / 50 weeks, you must sell 300 houses in 50 weeks to earn  $ 31050

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(x3 + 6x2 + 2x - 6) • (x - 1)

step-by-step explanation:

polynomial long division :

3.2     polynomial long division

dividing :   x4+5x3-4x2-8x+6

                              ("dividend")

by         :     x-1     ("divisor")

dividend     x4   +   5x3   -   4x2   -   8x   +   6

- divisor   * x3     x4   -   x3            

remainder         6x3   -   4x2   -   8x   +   6

- divisor   * 6x2         6x3   -   6x2        

remainder             2x2   -   8x   +   6

- divisor   * 2x1             2x2   -   2x    

remainder               -   6x   +   6

- divisor   * -6x0               -   6x   +   6

remainder                     0

quotient :   x3+6x2+2x-6   remainder:   0